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1313142930 = 2325116012207
BaseRepresentation
bin100111001000100…
…1111100010010010
310101111220120110100
41032101033202102
510142131033210
6334145113230
744353350021
oct11621174222
93344816410
101313142930
116142647a0
12307928816
1317c08a268
14c65828b8
157a4395c0
hex4e44f892

1313142930 has 96 divisors (see below), whose sum is σ = 3732438528. Its totient is φ = 317664000.

The previous prime is 1313142851. The next prime is 1313142989. The reversal of 1313142930 is 392413131.

It is a junction number, because it is equal to n+sod(n) for n = 1313142894 and 1313142903.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 593887 + ... + 596093.

It is an arithmetic number, because the mean of its divisors is an integer number (38879568).

Almost surely, 21313142930 is an apocalyptic number.

1313142930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313142930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866219264).

1313142930 is an abundant number, since it is smaller than the sum of its proper divisors (2419295598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313142930 is a wasteful number, since it uses less digits than its factorization.

1313142930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1313142930 is about 36237.3140560942. The cubic root of 1313142930 is about 1095.0585319309.

The spelling of 1313142930 in words is "one billion, three hundred thirteen million, one hundred forty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 601 990 1202 1803 2207 3005 3606 4414 5409 6010 6611 6621 9015 10818 11035 13222 13242 18030 19833 19863 22070 24277 27045 33055 33105 39666 39726 48554 54090 59499 66110 66210 72831 99165 99315 118998 121385 145662 198330 198630 218493 242770 297495 364155 436986 594990 728310 1092465 1326407 2184930 2652814 3979221 6632035 7958442 11937663 13264070 14590477 19896105 23875326 29180954 39792210 43771431 59688315 72952385 87542862 119376630 131314293 145904770 218857155 262628586 437714310 656571465 1313142930